A Kronecker-Type Theorem for Complex Polynomials in Several Variables
Canadian mathematical bulletin, Tome 24 (1981) no. 4, pp. 447-452
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We give a classification result for "extreme-monic" polynomials in several variables having measure 1. The result implies a recent several-variable generalization, by D. W. Boyd, of Kronecker's classical theorem (that all zeros of a monic integral polynomial, with non-zero constant term and measure 1, are roots of unity).
Smyth, C. J. A Kronecker-Type Theorem for Complex Polynomials in Several Variables. Canadian mathematical bulletin, Tome 24 (1981) no. 4, pp. 447-452. doi: 10.4153/CMB-1981-068-8
@article{10_4153_CMB_1981_068_8,
author = {Smyth, C. J.},
title = {A {Kronecker-Type} {Theorem} for {Complex} {Polynomials} in {Several} {Variables}},
journal = {Canadian mathematical bulletin},
pages = {447--452},
year = {1981},
volume = {24},
number = {4},
doi = {10.4153/CMB-1981-068-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-068-8/}
}
TY - JOUR AU - Smyth, C. J. TI - A Kronecker-Type Theorem for Complex Polynomials in Several Variables JO - Canadian mathematical bulletin PY - 1981 SP - 447 EP - 452 VL - 24 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-068-8/ DO - 10.4153/CMB-1981-068-8 ID - 10_4153_CMB_1981_068_8 ER -
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